Homework Help is Here – Start Your Trial Now!
Math
Calculus
A flux line of a vector field F is a vector curve r (t) that satisfies the equality dr/dt= F (r(t)) If F represents the velocity field of a particle, then the lines of flux correspond to the paths that the particle makes. If r(t) = e2t, ln |t|, 1/t, t> 0, then verify that r(t) is a flow line of the vector field F(x, y, z) = (2x, z, −z2).

A flux line of a vector field F is a vector curve r (t) that satisfies the equality dr/dt= F (r(t)) If F represents the velocity field of a particle, then the lines of flux correspond to the paths that the particle makes. If r(t) = e2t, ln |t|, 1/t, t> 0, then verify that r(t) is a flow line of the vector field F(x, y, z) = (2x, z, −z2).

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
See similar textbooks
icon
Related questions
Question

A flux line of a vector field F is a vector curve r (t) that satisfies the equality

dr/dt= F (r(t))

If F represents the velocity field of a particle, then the lines of flux correspond to the paths that the particle makes. If r(t) = e2t, ln |t|, 1/t, t> 0, then verify that r(t) is a flow line of the vector field F(x, y, z) = (2x, z, −z2).

dr = F(r(t)) dt
Transcribed Image Text:dr = F(r(t)) dt
r(t) %3D (e2',In |히, 1),t> 0 t > 0
Transcribed Image Text:r(t) %3D (e2',In |히, 1),t> 0 t > 0
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS